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41413905640 = 23531251271491
BaseRepresentation
bin100110100100011101…
…100000110011101000
310221220012120101102001
4212210131200303220
51134303424440030
631005243420344
72664163250452
oct464435406350
9127805511361
1041413905640
11166220852a8
1280395246b4
133b9cc8c513
14200c29d2d2
151125bc6cca
hex9a4760ce8

41413905640 has 128 divisors (see below), whose sum is σ = 97124106240. Its totient is φ = 15876000000.

The previous prime is 41413905583. The next prime is 41413905641. The reversal of 41413905640 is 4650931414.

It is a super-2 number, since 2×414139056402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41413905640.

It is not an unprimeable number, because it can be changed into a prime (41413905641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84345795 + ... + 84346285.

It is an arithmetic number, because the mean of its divisors is an integer number (758782080).

Almost surely, 241413905640 is an apocalyptic number.

41413905640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41413905640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48562053120).

41413905640 is an abundant number, since it is smaller than the sum of its proper divisors (55710200600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41413905640 is a wasteful number, since it uses less digits than its factorization.

41413905640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 41413905640 in words is "forty-one billion, four hundred thirteen million, nine hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 251 271 310 491 502 542 620 982 1004 1084 1240 1255 1355 1964 2008 2168 2455 2510 2710 3928 4910 5020 5420 7781 8401 9820 10040 10840 15221 15562 16802 19640 30442 31124 33604 38905 42005 60884 62248 67208 68021 76105 77810 84010 121768 123241 133061 136042 152210 155620 168020 246482 266122 272084 304420 311240 336040 340105 492964 532244 544168 608840 616205 665305 680210 985928 1064488 1232410 1330610 1360420 2108651 2464820 2661220 2720840 3820471 4124891 4217302 4929640 5322440 7640942 8249782 8434604 10543255 15281884 16499564 16869208 19102355 20624455 21086510 30563768 32999128 33398311 38204710 41248910 42173020 66796622 76409420 82497820 84346040 133593244 152818840 164995640 166991555 267186488 333983110 667966220 1035347641 1335932440 2070695282 4141390564 5176738205 8282781128 10353476410 20706952820 41413905640